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Finding the Fourth Proportional to 1,763.74, 2,438.52 and 1,686.28

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Solution

The fourth proportional to 1,763.74, 2,438.52 and 1,686.28 is: 2,331.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,763.74 : 2,438.52 = 1,686.28 : x
  2. Step 2: Convert to fraction form
    1,763.74/2,438.52 = 1,686.28/x
  3. Step 3: Cross multiply
    1,763.74x = 2,438.52 × 1,686.28
  4. Step 4: Simplify right side
    1,763.74x = 4,112,027.51
  5. Step 5: Solve for x
    x = 4,112,027.51/1,763.74
  6. Step 6: Final answer
    x = 2,331.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.